Isolating the Penguin-diagram Contribution to $CP$ Violation in $B^{0}_{d}$ vs $\bar{B}^{0}_{d}\rightarrow π^{+}π^{-}$

Details Isolating the Penguin-diagram Contribution to $CP$ Violation in $B^{0}_{d}$ vs $\bar{B}^{0}_{d}\rightarrow π^{+}π^{-}$ Isolating the Penguin-diagram Contribution to $CP$ Violation in $B^{0}_{d}$ vs $\bar{B}^{0}_{d}\rightarrow π^{+}π^{-}$

1994-09-15

arxiv.org/abs/hep-ph/9409318v1

Nuovo Cim.A108:1069-1078,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex file 11 pages; LMU-14/94 (August 1994)

Scientific paper

10.1007/BF02790316

A reliable prediction for $CP$ violation in $B^{0}_{d}$ vs $\bar{B}^{0}_{d}\rightarrow \pi^{+}\pi^{-}$ suffers from the penguin-diagram induced uncertainty. With the help of SU(3) relations, we show that both the magnitude and strong phase shift of the penguin amplitude can be approximately determined only from the branching ratios of $B^{0}_{d}\rightarrow \pi^{+}\pi^{-}$, $B^{0}_{d}\rightarrow K^{+}\pi^{-}$, and $B^{+}_{u}\rightarrow K^{0}\pi^{+}$.

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